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Finding the Fourth Proportional to 709.24, 1,064 and 384.97

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Solution

The fourth proportional to 709.24, 1,064 and 384.97 is: 577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.24 : 1,064 = 384.97 : x
  2. Step 2: Convert to fraction form
    709.24/1,064 = 384.97/x
  3. Step 3: Cross multiply
    709.24x = 1,064 × 384.97
  4. Step 4: Simplify right side
    709.24x = 409,608.08
  5. Step 5: Solve for x
    x = 409,608.08/709.24
  6. Step 6: Final answer
    x = 577.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.